geometric series

English

Noun

geometric series (plural geometric series)

1. (mathematical analysis) Any infinite series whose terms are in geometric progression; any series of the form $\textstyle a+ar+ar^{2}+ar^{3}\cdots =a\sum _{i=0}^{\infty }r^{i}$, where $a\neq 0$, $r\neq 0$, and $r\neq 1$.

   Coordinate terms: arithmetic series, harmonic series

Translations

infinite series of terms in geometric progression

• Asturian: serie xeométrica f
• Catalan: sèrie geomètrica f
• Chinese:

  Mandarin: 等比级数 (zh), 几何级数 (jǐhé jíshù)

• Czech: geometrická řada f
• Finnish: geometrinen sarja (fi)
• French: série géométrque f
• Galician: serie xeométrica f
• Hungarian: mértani sor
• Icelandic: jafnhlutfallaröð f, kvótaröð f, rúmkynja röð f
• Italian: serie geometrica f
• Japanese: 等比級数 (ja) (tōhikyūsū)
• Norwegian:

  Bokmål: geometrisk følge m

  Nynorsk: geometrisk følgje f, geometrisk fylgje f, geometrisk følge f

• Portuguese: série geométrica f
• Serbo-Croatian: geometrijski red m
• Spanish: serie geométrica f

See also

• geometric progression